Nice lesson, I love that scale, but I hasn´t to be exotic at all It´s a standart choice for tritonic dominant sustitution (need an english teacher here) for example Dm G7 Cmaj7 goes into Dm Db7(+11) Cmaj7 in the Db7 goes a Db lydian dominant scale and the (+11) after the name of the chord is a ussualy common courtesy by the composer.
I liked it very much, has a lot of Satch sound there.

Give any scale a major 3rd and a minor 7th, you'll get the dominant version of that scale. Today we'll talk about the Lydian Dominant scale. Because of the nature of its notes, it will best be used over a 7th chord.

Here are the notes of a Lydian dominant scale:

Root-Maj2nd-Maj3rd-Augmented 4th-5th-Maj6th-min7th

Today's lesson will be in the key of A Lydian Dominant.

Make sure you are comfortable with the suggested pattern and the construction of the sale, then memorize the examples and use them over your own creations.